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Exercice 1 : Test recherche — projecteur dans un espace de Hilbert

Question 1

Soit $\mathcal{H}$ un espace de Hilbert et $P$ un projecteur orthogonal ($P^2 = P = P^\dagger$). On considère une mesure projective associée à $P$. Que donne une mesure sur un ket $\ket{\psi}$ déjà dans l'image de $P$ ?

Indice

Relier à la probabilité $\bra{\psi}P\ket{\psi}$ et au postulat de projection.

Postulates